40259130250752 has 1600 divisors, whose sum is σ = 150181948882944. Its totient is φ = 10485043937280.

The previous prime is 40259130250747. The next prime is 40259130250769. The reversal of 40259130250752 is 25705203195204.

40259130250752 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 9 + 130 + 2 + 507 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40259130250698 and 40259130250707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13868110933 + ... + 13868113835.

Almost surely, 2^{40259130250752} is an apocalyptic number.

40259130250752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40259130250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75090974441472).

40259130250752 is an abundant number, since it is smaller than the sum of its proper divisors (109922818632192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40259130250752 is a wasteful number, since it uses less digits than its factorization.

40259130250752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 40259130250752 in words is "forty trillion, two hundred fifty-nine billion, one hundred thirty million, two hundred fifty thousand, seven hundred fifty-two".